What is the Least Common Multiple of 90153 and 90168?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 90153 and 90168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90153 and 90168, than apply into the LCM equation.

GCF(90153,90168) = 3
LCM(90153,90168) = ( 90153 × 90168) / 3
LCM(90153,90168) = 8128915704 / 3
LCM(90153,90168) = 2709638568

Least Common Multiple (LCM) of 90153 and 90168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90153 and 90168. First we will calculate the prime factors of 90153 and 90168.

Prime Factorization of 90153

Prime Factorization of 90168

Now multiplying the highest exponent prime factors to calculate the LCM of 90153 and 90168.

LCM(90153,90168) = 3⁵ × 7¹ × 53¹ × 2³ × 13¹ × 17²
LCM(90153,90168) = 2709638568